Week1-Assignment1

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Week1-Assignment1-Question (A) Calculated dot product u and v

u= c(0.5,0.5)
v=c(3,-4)
dot.product.uandv<- u%*%v
dot.product.uandv

##      [,1]
## [1,] -0.5

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Week1-Assignment1-Question (B) lengths of u and v - Euclidean norm

## [1] 0.7071068

## [1] 5

Week1-Assignment1-Question (C) Linear Combination of 3u-2v

##      [,1] [,2]
## [1,] -4.5  9.5

Week1-Assignment1-Question (D) what is the angle between u and v

##          [,1]
## [1,] 1.712693

Week1-Assignment1-Question (2) what is the angle between u and v

##      [,1] [,2] [,3]
## [1,]    1    1    3
## [2,]    2   -1    5
## [3,]   -1   -2    4

## [1] 1 2 6

## [1] -1.5454545 -0.3181818  0.9545455

##      [,1]
## [1,]    1
## [2,]    2
## [3,]    6

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